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Quantum Spectral Curve for AdS3/CFT2: a proposal

Cavaglià, A., Gromov, N., Stefański, B. and Torrielli, A. (2021). Quantum Spectral Curve for AdS3/CFT2: a proposal. .

Abstract

We conjecture the Quantum Spectral Curve equations for string theory on AdS3×S3×T4 with RR charge and its CFT2 dual. We show that in the large-length regime, under additional mild assumptions, the QSC reproduces the Asymptotic Bethe Ansatz equations for the massive sector of the theory, including the exact dressing phases found in the literature. The structure of the QSC shares many similarities with the previously known AdS5 and AdS4 cases, but contains a critical new feature - the branch cuts are no longer quadratic. Nevertheless, we show that much of the QSC analysis can be suitably generalised producing a self-consistent system of equations. While further tests are necessary, particularly outside the massive sector, the simplicity and self-consistency of our construction suggests the completeness of the QSC.

Publication Type: Monograph (Working Paper)
Publisher Keywords: High Energy Physics - Theory (hep-th)
Subjects: Q Science > QC Physics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
Date available in CRO: 05 Nov 2021 09:29
Date of first online publication: 12 September 2021
URI: https://openaccess.city.ac.uk/id/eprint/26963
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